Grade 11 Mathematics practice

What is on the worksheet

1. An arithmetic sequence has first term 14 and common difference 15. Find term 6.

2. Club A has 13 bus users and 19 walkers. Club B has 4 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

3. Solve for x: x + y = 49 and x − y = 17.

4. In a right triangle, the legs opposite and adjacent to θ are 19 cm and 7 cm. Find tan θ as a fraction.

5. Find the limit of 8x² + 7 as x approaches 1.

6. For f(x) = 2x^4, find f′(5).

7. In a right triangle, the legs opposite and adjacent to θ are 23 cm and 17 cm. Find tan θ as a fraction.

8. An arithmetic sequence has first term 16 and common difference 5. Find term 17.

9. A score of 13 occurs 3 times; a score of 17 occurs 3 times. Find the mean as a fraction or decimal.

10. A cone has radius 2 cm and height 48 cm. Use π = 3.14. Find its volume in cm³.

11. How many ordered selections of 5 distinct items can be made from 7 items without repetition?

12. Data: 22, 23, 24, 25, 26, 27, 28, 29. Using medians of the lower four and upper four values, find the interquartile range.

13. f(x) = 12x + (27). Find f⁻¹(123).

14. f(t) = 2t + (10); g(t) = 5t + (2). Find f(g(6)).

15. Data: 9, 11, 13, 15, 17, 19, 21, 23. Using medians of the lower four and upper four values, find the interquartile range.

16. In a right triangle, the legs opposite and adjacent to θ are 40 cm and 35 cm. Find tan θ as a fraction.

17. f(x) = 5x³ + 5x² + (7)x. Find f′(0).

18. The graph y = 4x² + 16x + 8 has axis x = k. Find k.

19. Find the discriminant of 4x² + 3x + 17 = 0.

20. Find the smaller root of (x − 2)(x − 16) = 0.